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Equation for progressive wave​

User Dojuba
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1 Answer

2 votes

Answer:

y(x, t) = A Sin(ωt ± kx)

Step-by-step explanation:

Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.

The general equation for a progressive wave is;

y(x, t) = A Sin(ωt ± kx)

Where: A is its amplitude, t is the time, k is the wave number.

When the wave travels in the positive x-axis direction, the equation changes to;

y(x, t) = A Sin(ωt - kx)

When it travels in the negative x- axis direction, the equation becomes;

y(x, t) = A Sin(ωt + kx)

NB: ω = 2
\pif and k = 2
\pi/λ.

User Jonathan Lam
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5.6k points